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404788380 = 223529593943
BaseRepresentation
bin11000001000001…
…001010010011100
31001012200101021020
4120020021102130
51312111212010
6104100004140
713013434023
oct3010112234
91035611236
10404788380
11198546557
12b3690650
1365b29c69
143ba8d8ba
152580c470
hex1820949c

404788380 has 96 divisors (see below), whose sum is σ = 1192665600. Its totient is φ = 102428928.

The previous prime is 404788379. The next prime is 404788387. The reversal of 404788380 is 83887404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404788387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100689 + ... + 104631.

It is an arithmetic number, because the mean of its divisors is an integer number (12423600).

Almost surely, 2404788380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404788380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596332800).

404788380 is an abundant number, since it is smaller than the sum of its proper divisors (787877220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404788380 is a wasteful number, since it uses less digits than its factorization.

404788380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 404788380 is about 20119.3533693307. The cubic root of 404788380 is about 739.7347357000.

The spelling of 404788380 in words is "four hundred four million, seven hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 236 290 295 348 354 435 580 590 708 870 885 1180 1711 1740 1770 3422 3540 3943 5133 6844 7886 8555 10266 11829 15772 17110 19715 20532 23658 25665 34220 39430 47316 51330 59145 78860 102660 114347 118290 228694 232637 236580 343041 457388 465274 571735 686082 697911 930548 1143470 1163185 1372164 1395822 1715205 2286940 2326370 2791644 3430410 3489555 4652740 6746473 6860820 6979110 13492946 13958220 20239419 26985892 33732365 40478838 67464730 80957676 101197095 134929460 202394190 404788380